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Finding the Fourth Proportional to 799.62, 1,201.05 and 664.62

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Solution

The fourth proportional to 799.62, 1,201.05 and 664.62 is: 998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.62 : 1,201.05 = 664.62 : x
  2. Step 2: Convert to fraction form
    799.62/1,201.05 = 664.62/x
  3. Step 3: Cross multiply
    799.62x = 1,201.05 × 664.62
  4. Step 4: Simplify right side
    799.62x = 798,241.85
  5. Step 5: Solve for x
    x = 798,241.85/799.62
  6. Step 6: Final answer
    x = 998.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.